Theorem dfom3 4640

Description: Alias for df-iom 4639. Use it instead of df-iom 4639 for naming consistency with set.mm. (Contributed by NM, 6-Aug-1994.)

Assertion

Ref	Expression
dfom3	|- om = |^| { x | ( (/) e. x /\ A. y e. x suc y e. x ) }

Distinct variable group:   x, y

Proof of Theorem dfom3

Step	Hyp	Ref	Expression
1		df-iom 4639	1 |- om = |^| { x | ( (/) e. x /\ A. y e. x suc y e. x ) }

Syntax hints:   /\ wa 104   = wceq 1373   e. wcel 2176   {cab 2191   A.wral 2484   (/)c0 3460   |^|cint 3885   suc csuc 4412   omcom 4638

This theorem depends on definitions:  df-iom 4639

This theorem is referenced by:  omex  4641  peano1  4642  peano2  4643  peano5  4646  bj-dfom  15869